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Question 4
A stretched string of length 50 cm is plucked a quarter of
the way along its length to give an initial velocity of 10 m/s.
Find expressions for the coefficients an and bn.
a. an = 0 bn = 0
-0.5
b. an = 0.25
y(x,0) sin(kx)dx, b₁ = 0
4 0.5
=
c. an = 0, bn foy(x,0) sin(kx) dx
@n
4 -0.5
d. an = So y(x,0) sin(kx) dx,
y(x,0)sin(kx)dx
Wn
b₁ =0.255
0

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